Question

Three athletes can complete one round around a circular field in 16, 24 and 36 min respectively. They start running together at same instant then after how much time they will meet to each other for first time ?
A) 2 hrs 24 min
B) 2 hrs 44 min
C) 1 hrs 24 min
D) 1 hrs 24 min

Answer 1

Hey.


Here is the Answer.


Three athletes can complete one round around a circular field in 16, 24 and 36 min respectively.


16 = 2×2×2×2

24 = 2×2×2×3

36 = 2×2×3×3


So, Lowest Common Multiple

LCM of 16, 24 and 36 = 2×2×2×2×3×3

= 144

So, they will meet again after 144 minutes


= 120 + 24 minutes

= 2 hr 24 minutes ___{ as 1 hr = 60 mint}

So, after 2 hr 24 min they will meet to each other for first time

So, (A) is correct.


Thanks

Answer 2

Heya...

======= Answer =======

Option A ..

2 hrs 24 min is the answer ....

_______ Solution ______

Three athlete complete one round in :-

16 = 2*2*2*2

24 = 2*2*2*3

36 = 2*2*3*3

LCM =>> 2*2*2*2*3*3 = 144

It's getting timing will be 120+24

So... 2hrs and 24 min...

Thank you