1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A and B run a kilometer and A wins by 25 seconds. A and C run a kilometer and A wins by 275 m.B and C run the same distance and B wins by 30 sec. What is the time taken by A to run a kilometer ?

A
2 min 25 sec
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2 min 50 sec
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
3 min 20 sec
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
3 min 30 sec
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A 2 min 25 secIf A covers a distance of 1 km in x seconds, then B covers the distance of 1 km in (x+25) seconds.If A covers a distance of 1 km then in the same time C covers only 725 metresIf B covers the distance of 1 km in (x+25) seconds, then C covers the distance of 1 km in (x+55) seconds. Also C covers a distance of 725 metres in x seconds. Then x725×1000=x+55⇒x=145⇒ A covers a distance of 1 km in 145 seconds, i.e., 2 min 25 sec.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Time and Work
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program