1) Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C. While runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed.

a) 36

b) 48

c) 60

d) 72

e) None of these

b) 48

Explanation

Let ‘x’ be the length of the race ___

A                 B                 C

Case I          x                 x-12            x-18

Case II                            x                 x-8

So,

2) Farooq start from Mumbai to Chennai, Siddiq from Chennai to Mumbai at the same time. After passing each other they complete their journeys in 3 1/3  and 4 4/5 hours, respectively. Find the speed of the second man if the speed of the first is 12kmph.

a) 10

b) 12

c) 15

d) 12. 5

e) None of these

a) 10

Explanation

speed.

3) A man rows 750m in 675 seconds against the stream and returns in 7 1/2  minutes. What is the rowing speed in still water is?

a) 4.8km/hr

b) 5km/hr

c) 4.5km/hr

d) 4.6km/hr

e) None of these

b) 5km/hr

Explanation

Speed of man=a

Speed of stream=b

Distance is same in both upstream and downstream.

4) An aeroplane first flew with a speed of 440 kmph and covered a certain distance. It still had to cover 770 km less than what it had already covered but it flew with a speed of 660 kmph. The average speed for the entire flight was 500 kmph. Find the total distance Covered?

a) 3250 km

b) 2750 km

c) 4400 km

d)  1375 km

e) None of these

b) 2750 km

Explanation

Let the plane covers x km with 440 kmph and (x – 770) km at a speed of 660 kmph.

Hence, it covers a total distance of (2x – 770)km at a speed of 500 kmph

5) Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. After 2 hours, tap C is closed and A and B are kept running. After the 4th hour, tap B is also closed. The remaining work is done by tap A alone. What is the percentage of the work done by tap A alone?

a) 30%

b)  35%

c) 45%

d) 50%

e) None of these

b)  35%

Explanation

All of them are opened for 2 hours + after 2 hours, tap C is closed + After the 4th hour, tap B is also closed = 100

(10+5+2.5)×2 + (10+5)×2 + X = 100

35+30+ work by tap A alone = 100

work by tap A alone =100-65 = 35%

6) Chennai express starts from Chennai towards Mumbai at 2.30p.m., travelling at a speed of 60kmph and Vivek express starts from Chennai towards Mumbai on the same day at 4.30p.m., travelling at a speed of 80kmph. How far away from Chennai will the two trains meet?

a) 480

b) 450

c) 500

d) 360

e) None of these

a) 480

Explanation

Suppose they meet x hours after 2.30p.m.

Then, 60x = 80 (x – 2) or x = 8

Required distance = (60 x 8) km = 480 km

7) The ratio between the speed of Meena and Teena is 2:3. Meena takes 20 min more than Teena to walk from A to B. If Meena had walked at double the speed, then find the time she would take to walk from A to B?

a) 30

b) 40

c) 10

d) 20

e) None of these

a) 30

Explanation

Hence, Meena takes 60 min walking at her usual speed and at double the speed, she would take 30 min.

8)  A cistern can be filled by two pipes in 30 and 60 minutes respectively. Both pipes being opened, when must the first pipe be turned off so that the cistern may be filled in 30 minutes more?

a) 30

b) 40

c) 10

d) 20

e) None of these

c) 10

Explanation

9) Two person Victor and Manish start their journey from two different places towards each other’s place. After crossing each other, they complete their journey in 49 and 196 hours respectively. Find speed of Manish, if speed of Victor is 144 km/hr.

a) 48

b) 72

c) 36

d) 144

e) None of these

b) 72

Explanation

Let’s say A = Victor and B = Manish; Victor = 144;
a = 49 and b = 196, then

ManishSpeed = 72 km/hr

10) Abhimanyu goes from his office to his  house at the speed of 60 kmph and returns to his office at the speed of 100 kmph. What is the average speed for the entire journey?

a) 75  kmph

b) 85 kmph

c) 65 kmph

d)  95 kmph

e) None of these

a) 75  kmph

Explanation