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

+1 vote
94 views

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? posted Jul 24, 2020

I guess the answer is 15 meters answer Jul 26, 2020 by anonymous

If amar takes time 't' to complete 80m race then
Speed of Amar = 80/t
Speed of Akbar = 75/t
Speed of Anthony = 60/t.

Therefore ratio of speed of Akhbar:Anthony = 75/60 = 5/4.
This ratio can help us get speed ratio if Akhbar covered 80m instead 75m as seen in the above case, ie.,
(5×16/t2)/(4×16/t2) ====> (5×16/t2)=75/t=(5×15/t)
& (60×16/t2)=60/t=(4×15/t)
Where t2 is the time taken by Akhbar to cover 80m
Which means Akhbar can give Anthony a head start of
80-64=16m to win the race and not 15m as some might say. answer Jul 26, 2020

Similar Puzzles

Amar, Akbar and Anthony jointly thought of engaging themselves in a business venture.
It was agreed that Amar would invest Rs. 6500 for 6 months, Akbar Rs. 8400 for 5 months and Anthony Rs. 10000 for 3 months.
Amar wants to be working member for which, he was to receive 5% of the profits.
The profit earned was Rs. 7400.
Calculate the share of everyone.

+1 vote

If Rs 78300 is to be divided among Amar, Akbar and Anthony, so that Amar receives 30% more than Akbar and Akbar receives 30% less than Anthony.
What are their shares?

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?