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A takes 3 min 45 seconds to run a kilometer, while B takes 4 minutes to run a kilometer. If A and B were to participate in a race of 2 kms, by how many meters will A win the race?

A) 135 meter
B) 125 meter
C) 110 meter
D) 140 meter

Correct Answer:


B) 125 meter

Description for Correct answer:
A takes 3 min 45 sec to run a kilometer, while 8 takes 4 minutes. That is, B takes 15 more seconds to complete a kilometer. So, A will win the race by \( \Large 2 \times 15 \)=30 sec.

To measure the distance by which A will win, we need to find the distance that B will run in 30 seconds.

We know that B takes 4 minutes to run a km. so his speed is \( \Large \frac{1000}{4} \)

= 250 m/min = \( \Large \frac{250}{60} \) m/sec

Therefore, in 30 seconds B will run a distance of \( \Large \frac{250}{60} \times 30 \)

= 125 meter;

Therefore. in a 2 km race, A wins by 125 m.

Part of solved Time and Distance questions and answers : >> Aptitude >> Time and Distance

Comments

Similar Questions

1). A runs \( \Large 1\frac{1}{4} \)th as fast as B and wins the race by 25 meters. What is the length of the race?

A). 110 meters

B). 140 meters

C). 125 meters

D). 150 meters

2). In a 100 m race between A and B, A wins by 10 m. In a 100 m race between B and C, B wins by 10 m. In a 100 m race between A and C, who will win and by how much?

A). A, by 4 meters

B). A, by 12 meters

C). A, by 10 meters

D). A, by 19 meters

3). In a 500 m race between A and B. A wins by 20m. In the same race between A and C, A wins by 30 m, If B and C were to run a 500 m race, who will win the race and by how much?

A). B, 10.5 meters

B). B, 12.5 meters

C). B, 14.5 meters

D). B, 15.5 meters

4). In a 100m race, A runs at 5 m/sec. Even if B starts 8 m ahead of A. A wins by 3 sec., What is the speed of B?

A). 6 m/sec

B). 4 m/sec

C). 2 m/sec

D). 1 m/sec

5). In a km race, even if B starts 20 seconds ahead, A wins by 40 m. However, if B starts 25 seconds ahead they finish together. What are their respective speeds in m/sec?

A). A-12 m/sec, B-10 m/sec

B). A-15 m/sec, B-13 m/sec

C). A-10 m/sec, B- 8 m/sec

D). A-16 m/sec, B-14 m/sec

6). A can run a 400m race in 40 seconds, while B takes 50 seconds to complete it. If B starts 100 m ahead in the race, by how many seconds will he win the race?

A). B, 4.5 seconds

B). B, 5.5 seconds

C). B, 6.5 seconds

D). B, 2.5 seconds

7). A and B start simultaneously from the same point along a circular track of length 1 km in the same direction at 4 m/sec and 5 m/sec respectively.
(i) When will they meet for the first time and at what point with respect to the starting
point in the direction of their sprint will they meet.
(ii) When will they meet for the first time at the starting-point?

A). (i) A has run 3 laps and B has run 4 laps (ii) 750 seconds

B). (i) A has run 4 laps and B has run 5 laps (ii)1000 seconds

C). (i) A has run 5 laps and B has run 6 laps (ii)1250 seconds

D). (i) A has run 5 laps and B has run 4 laps (ii)1500 seconds

8). A and B start on a circular track of length 400 m simultaneously from the same point in
opposite direction running at 5 m/sec and 3 m/sec respectively.
(i) When will they meet for the first time?
(ii) What point with respect to the starting point in the direction in which A runs will they meet?
(iii) When will they meet for the first time at the starting point?
(iv) How many times would they have met before they meet for the first time at the starting
point again?

A). (i) 60 seconds (ii) 350 m (iii) 450 seconds (iv) 6 times

B). (i) 40 seconds (ii) 200 m (iii) 350 seconds (iv) 8 times

C). (i) 50 seconds (ii) 250 m (iii) 400 seconds (iv) 7 times

D). (i) 80 seconds (ii) 300 m (iii) 500 seconds (iv) 5 times

9). A and B run around a circular track of radius 70 meters starting from the same point simultaneously and in the same direction. lf A runs at 25 m/min and B runs at 36 m/min, when will they meet for the first time?

A). 50 min

B). 55 min

C). 60 min

D). 40 min

10). Three people A, B and C run around a circular track of length 400 m starting simultaneously from the same point in the same direction at 5m/sec, 8 m/sec and 3 m/sec respectively.
(i) When will they meet for the first time and at what point will they meet?
(ii) When will they meet for the first time at the starting point?

A). (i) 400 seconds (ii) 400 seconds

B). (i) 450 seconds (ii) 500 seconds

C). (i) 500 seconds (ii) 550 seconds

D). (i) 300 seconds (ii) 400 seconds