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Q #11

⏰ 00:00

CAT Time Speed and Distance: Relative Speed

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Cities M and N are 600km apart. Bus A starts from city M towards N at 9AM and bus B starts from city N towards M at the same time. Bus A travels the first one-third of the distance at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmph. Bus B travels the first one-third of the total time taken at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmph. When and where will the two buses cross each other?

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295 kms from M

That's right

305 kms from M

That's Wrong

300 kms from M

That's Wrong

280 kms from M

That's Wrong
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Solution

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Q #12

⏰ 00:00

CAT Time Speed and Distance: Relative Speed

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A car of length 4m wants to overtake a trailer truck of length 20m travelling at 36km/hr within 10 seconds. At what speed should the car travel?

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7.6 m/s

That's Wrong

14.8 m/s

That's Wrong

12 m/s

That's Wrong

12.4 m/s

That's right
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Q #13

⏰ 00:00

CAT Time Speed and Distance: Relative Speed

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Train A travelling at 63 kmph takes 27 to sec to cross Train B when travelling in opposite direction whereas it takes 162 seconds to overtake it when travelling in the same direction. If the length of train B is 500 meters, find the length of Train A.

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810 m

That's Wrong

400 m

That's Wrong

310 m

That's right

500 m

That's Wrong
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Solution

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Q #14

⏰ 00:00

CAT Races: Dead Heat

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P cycles at a speed of 4 m/s for the first 8 seconds, 5 m/s for the next 8 seconds, 6 m/s for the next 8 and so on. Q cycles at a constant speed of 6.5 m/s throughout. If P and Q had to cycle for a 400 m race, how much lead in terms of distance, can P give Q and still finish at the same time as Q?

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P cannot give a lead as Q is always ahead of P

That's Wrong

43.4 m

That's Wrong

56.6 m

That's Wrong

30.8 m

That's right
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Solution

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Q #15

⏰ 00:00

CAT Time Speed and Distance: Ratio of speeds

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A bus starts from a bus stop P and goes to another bus stop Q. In between P and Q, there is a bridge AB of certain length. A man is standing at a point C on the bridge such that AC:CB = 1:3. When the bus starts at P and if the man starts running towards A, he will meet the bus at A. But if he runs towards B, the bus will overtake him at B. Which of the following is true?

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Bus travels 3x times faster than the man

That's Wrong

Bus travels 2x times faster than the man

That's right

The bus and the man travel at the same speed

That's Wrong

4x the speed of the man is equal to 3x the speed of the bus

That's Wrong
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Solution

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