Abid is the hare who runs fast and takes long rest while Gautam runs slow but takes short rest. Abid can run at 5 ms−1 while Gautam runs at 3 ms−1 . Abid has to take a 10s break after running 20s. But Gautam can take a 10s break after 90s. They are running a 1km (1000 m) race. What is the time difference between winner and loser? (Write the value in seconds upto nearest whole number)

Guatam is the fastest the other was the slowest

Abid
Velocity = 3 m/s
Can take a break for = 10s
Takes a break after = 20s

Time taken to run 1000m without breaks = 1000/5 = 200s

Abid takes 200s to run 1km without any breaks

If he takes a break after every 20s,
Then, number of breaks he takes = 200s/20s = 10 breaks

Time he spend in every break = 10s
Amount of time spent specifically in breaks = 10breaks * 10 s = 100s
Time inclusive of breaks = 200s + 100s = 300s

Hence Abid takes 300s with breaks

Gautam
Velocity = 3 m/s
He can take a break for 10s
He has to take a break after running 90s

Time taken without breaks = 1000m / 3 ms-1 = 333.3s
Time taken for Gautam to cover 1km without any breaks = 333.3s

He can take a break after running for 90s
Number of brakes he can take = 333.3s / 90s = 3.703 breaks
He can take 3.703 breaks in his entire journey

Amount of time he can spend in his break = 10s
Amount of time wasted = 3.703breaks * 10s = 37.03s

Total time = 333.3s + 37.03s = 370.39s

Rounding off = 370s
Hence, Gautam reaches the end of 1km faster than 1km

Difference = 370s - 300s = 70s

Hope it’s right

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