top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

How much of a start should Bhavesh give to Chetan so they would finish the race at the same time?

0 votes
128 views

There are three runners Ahaan, Bhavesh, and Chetan.
Each runs with a different uniform speed in a 1000 meters race.

If Ahaan gives Bhavesh a start of 50 meters, they will finish the race at the same time.

If Ahaan gives Chetan a start of 69 meters, they will finish the race at the same time.

Suppose Bhavesh and Chetan are in a race.
How much of a start should Bhavesh give to Chetan so they would finish the race at the same time?

posted Apr 20, 2020 by Prachi Sharma

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

20 m


Speed of Ahaan=a
Speed of Bhavesh=b
Speed of Chetan=c
We know a>b>c
time they spent = t=1000/a=(1000-50)/b=(1000-69)/c --> 1000/a=950/b=931/c
We have 950/b=931/c and we need to find out 1000/b=x/c, x will be the distance Chetan can run at the same time
To do that we multipy both sides to 1000/950 --> 1000/950*950/b=1000/950*931/c--> 1000/b=980/c
1000-980=20 m is the answer

answer Apr 20, 2020 by Hanifa Mammadov



Similar Puzzles
+1 vote

In a 80 m race, Amar can give a start of 5 m to Akbar and a start of 20 m to Anthony.
In the same race, how much start can Akbar give to Anthony?

+1 vote

Aashish runs 4 times as fast as Srisant.
If Aashish gives Srisant a start of 60 m, how fast must the goal on the race course be so that Aashish and Srisant reach it at the same time?

+1 vote

If a five-hour candle and a six-hour candle were lit at the same time, how much time would elapse before one candle would be five times longer than the other?

0 votes

Lavesh, Bhavesh, and Vignesh race each other in a 100 meters race. All of them run at a constant speed throughout the race.

Lavesh beats Bhavesh by 20 meters.
Bhavesh beats Vignesh by 20 meters.

How many meters does Lavesh beat Vignesh by ?

...