Question

a race of 1 km, Abdul beats Bilal by 25 seconds, who beats Faheed by 75 seconds. If Bilal and Faheed run an 800 m race, then Bilal would beat Faheed by 300 metres Find the time taken by Abdul to run a 800 m race ?
100 seconds
80 seconds
75 seconds
50 seconds​

Answer 1

Hey Mate!!

This is the answer

Let A be Abdul's speed (in m/s).

Let B be Bilal's speed (in m/s).

Let F be Fahid's speed (in m/s).

Then the condition says:

1000/B- 1000/A = 25  (1)

1000/F- 1000/B = 75  (2)

The third condition says that Bilal runs 800 m at the same time as Faheed runs 500 m.

It means that the ratio of Bilal speed to Faheed speed is 8/5:

B/F = 8/5.  (3)

Now, from equations (2) and (3) you can find B and F.

Then, knowing and having B, you can calculate/find A from the equation .

Having A, you will be able to answer the problem's question.