Question

A circular running path is 726 metres in circumference. Two men start from the same point and walk in opposite directions @ 3.75 km/h and 4.5 km/h respectively. When will they meet for the first time?

• A. 5.5 minutes
• B. 6.0 minutes
• C. 5.28 minutes
• D. 4.9 minutes

Answer 1

Answer: (C)

5.28 minutes

Answer 2

The correct option is (C): 5.28 minutes
Relative speed =3.75+4.5=8.25\space km/hr=8.25\times \frac{5}{18}$$=\frac{13.75}{6} \space m/s
The time taken for them to meet for the first time=\frac{distance}{speed}$$=\frac{726}{\frac{13.75}{6}}=$\frac{726\times6}{13.75}$=$316.8 \space sec$
⇒$$\frac{316.8}{60}=5.28\space minutes