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    a train can travel 50% faster than a car. both start from point a at the same time and reach point b 75 kms away from a at the same time. on the way, however, the train lost about 12.5 minutes while stopping at the stations. the speed of the car is

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    Question

    A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

    A

    100 kmph

    B

    110 kmph

    C

    120 kmph

    D

    130 kmph

    Easy Open in App Solution Verified by Toppr

    Correct option is C)

    Let speed of the car be  kmph.

    Then, speed of the train =

    100 150 ​ ×=( 2 3 ​ ×)kmph ∴ x 75 ​ − (3/2)x 75 ​ = 10×60 125 ​ ⇒ x 75 ​ − x 50 ​ = 24 5 ​ ⇒x=( 5 25×24 ​ )=120kmph

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    स्रोत : www.toppr.com

    A train can travel 50 % faster than a car. Both start from point A at the same time and reach point B 75 kilometres away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car isA. 100 kmphB. 110 kmphC. 130 kmphD. 120 kmph

    A train can travel 50 % faster than a car. Both start from point A at the same time and reach point B 75 kilometres away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car isA. 100 kmphB. 110 kmphC. 130 kmphD. 120 kmph

    Byju's Answer Standard X Mathematics

    Sum and Product of Roots of a Quadratic Equation

    A train can t... Question

    A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kilometres away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is

    A 100 kmph B 110 kmph C 120 kmph D 130 kmph Open in App Solution

    The correct option is D 120 km/h

    Step 1, Given data

    Speed of the train is 50% more than the speed of the car

    Distance = 75 km

    Time lost by the train = 12.5 min =

    12.5 60 h

    Step 2, Finding the speed

    Let the speed of the car be x kmph.

    Then, speed of the train

    = 150 x 100 = 3 x 2 km/h

    According to the question

    ∴ 75 2 − 75 ( 3 2 ) x = 125 10 × 60 ⇒ 75 x − 50 x = 5 24 After solving ⇒ x = [ 25 × 24 50 ] = 120 km/h

    Hence the speed of the car is 120 km/h

    Sum and Product of Roots of a Quadratic Equation

    Standard X Mathematics

    Suggest Corrections 30

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    स्रोत : byjus.com

    [Solved] A train can travel 50% faster than a car. Both start from po

    Given: Speed of train = 150% of the speed of the car Formula  used: Speed = Distance/Time Calculation: Let the speed of the car be x km/h So the spee

    Home Quantitative Aptitude Speed Time and Distance

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    A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is

    This question was previously asked in

    UJVNL AE EE 2016 Official Paper

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    100 km/hr 110 km/hr 120 km/hr 130 km/hr

    Answer (Detailed Solution Below)

    Option 3 : 120 km/hr

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    Detailed Solution

    Download Solution PDF

    Given:

    Speed of train = 150% of the speed of the car

    Formula  used:

    Speed = Distance/Time

    Calculation:

    Let the speed of the car be x km/h

    So the speed of the train will be 1.5x km/h

    According to the question

    ⇒ 75/x - 75/1.5x = 12.5/60

    ⇒ (112.5 - 75)/1.5x = 12.5/60

    ⇒ 37.5/1.5x = 12.5/60

    ⇒ 1.5x = 37.5 × (60/12.5)

    ⇒ x = 180/1.5 ⇒ x = 120 km/h

    ∴ The speed of the car is 120 km/hConcept used:

    When the distance is constant

    Speed ∝ 1/TIme

    Calculation:

    The ratio of speed of the Tain and the Car is

    ⇒ 3 : 2

    TrainCarSpeed

    3 2

    Time

    2 3

    The difference of the time is 12.5 minutes

    ⇒ 3x - 2x = 12.5/60 hours

    ⇒ x = 12.5/60 hour

    Time taken by car is

    ⇒ 3 × 12.5/60 = 12.5/20

    Speed of the car is ⇒ 75/(12.5/20) ⇒ (75 × 20)/12.5 ⇒ 120 km/h

    ∴ The speed of the car is 120 km/h

    Download Solution PDF

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    More Speed Time and Distance Questions

    Q1. A train 100 metres long, moving at a speed of 50 km per hour, crosses another train 120 metres long coming from the opposite direction in 6 seconds. What is the speed of the second train?Q2. A train leaves Meerut at 5 a.m. and reaches Delhi at 9 a.m. Another train leaves Delhi at 7 a.m. and reaches Meerut at 10:30 a.m. At what time do the two trains cross each other?Q3. A man covers a distance of 61 km in 9 hours. He travels some distance by bicycle at 9 km per hour and some distance by foot at 4 km per hour. Then the distance traveled by him on the bicycle will be:Q4. A person goes from A to B with speed 40 km/hr & return from B to A with speed 30 km/hr. Whole journey takes 14 hr, then find the distance between A & B in Km.Q5. Two friends A and B set out from places X and Y respectively which are 390 km apart. If they are moving in opposite directions at the speed of 5 kmph and 8 kmph respectively, in what time will they cross each other?Q6. A car moves from point A to point B 50% faster than a bike. The bike was 120 km away from the car and was moving towards the point B. If both those vehicles reach B at the same time, what is the distance between A and B?Q7. Both sisters Asha and Nisha want to meet their aunt who is 25 km away. Asha left home at 9 am at the speed of 4 km per hour and Nisha started at 11:30 on a bicycle at the speed of 9 km per hour. So when will Nisha reach Asha?Q8. A person covers a road 600 meters long in 5 minutes. What is its speed in km per hour?Q9. Train A starts from Mumbai at 5.00 AM for Delhi. Train B starts from Delhi at 7.00 AM for Mumbai. Distance between Delhi and Mumbai is 720km. Speed of train B is 60km/hr. Train A can cross a 150m pole in 5 sec. Find the time at which both trains will meet?Q10. A bus travels from station A to station B and covers the total distance in 6 hours. It covered the first half distance at 48 km/hr and the second half distance at 60 km/hr. Find the total distance covered by the bus.

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