# Time Speed and Distance Questions for CAT

CAT 2020 MOCK Test Series at INR 1000/- only.
Question 36: A boat goes 50 km upstream in 10 hours and a distance of 40 km downstream in 8 hours. The speed of the boat in still water is
[1] 0 kmph
[2] 10 kmph
[3] 7.2 kmph
[4] 5 kmph

Option: 4

Explanation:

Speed upstream = 50/10 = 5 kmph.

Speed downstream = 40/8 = 5 kmph.

Since both these speeds are equal, it means that the water is still.

Two cyclists start from the same place to ride in the same direction. A starts at noon at 8 kmph while B starts at 2 pm at the rate of 10 kmph.

Question 37: How far will A have ridden before he is overtaken by B?
[1] 76 km
[2] 80 km
[3] 84 km
[4] 75 km

Option: 2

Explanation:

By the time B starts, A has already covered 16 km.

Difference between B's speed and A's speed is 2 km/hr.

So, total time for B to catch up with A will be $\frac{{16}}{2}$ i.e.. 8 hrs.

:. At 10 pm, B will overtake A.

Distance covered by A before he is overtaken by B = 10 x 8 = 80 km.

i.e. A and B will be 5 km apart at $\frac{{11}}{2}$ hrs after A's start and $\frac{{21}}{2}$ hrs after B's start, i.e. at 7.30 pm and 12.30 am next day.

Hence required answers are 80 km, 7.30 pm and 12.30 am next day.

Question 38: At what times A and B will be 5 km apart?
[1] 7.30 pm on the same day and 1.30 am on the next day.
[2] 7.30 pm on the same day and 12.30 am on the next day.
[3] 8.30 pm on the same day and 1.30 am on the next day.
[4] 8.30 pm on the same day and 12.30 am on the next day.

Option: 2

Explanation:

By the time B starts, A has already covered 16 km.

Difference between B's speed and A's speed is 2 km/hr.

So, total time for B to catch up with A will be $\frac{{16}}{2}$ i.e.. 8 hrs.

:. At 10 pm, B will overtake A.

Distance covered by A before he is overtaken by B = 10 x 8 = 80 km.

i.e. A and B will be 5 km apart at $\frac{{11}}{2}$ hrs after A's start and $\frac{{21}}{2}$ hrs after B's start, i.e. at 7.30 pm and 12.30 am next day.

Hence required answers are 80 km, 7.30 pm and 12.30 am next day.

Question 39: A train runs at 45 kmph. How far does it go in 6 seconds?
[1] 45 m
[2] 60 m
[3] 75 m
[4] 55 m

Option: 3

Explanation:

$45 \times \frac{5}{{18}} \times 6 = 75m$

Question 40: If the speed of train is 92.4 kmph, then how many metres does it cover in 20 minutes?
[1] 30800 m
[2] 32800 m
[3] 38200 m
[4] 35500 m