Question

The jogging track in a sports complex is 726 metres in circumference. Pradeep and his wife start from the same point and walk in opposite directions at 4.5 km/h and 3.75 km/h, respectively. They will meet for the first time in

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

Answer 1

The Correct Option is C

To solve this problem, we need to determine how long it takes for Pradeep and his wife to meet while walking in opposite directions on a track with a circumference of 726 meters.

First, convert their speeds from km/h to m/min:

• Pradeep's speed = 4.5 km/h = 4500 m/h = 75 m/min (since 4500 ÷ 60 = 75)
• His wife's speed = 3.75 km/h = 3750 m/h = 62.5 m/min (since 3750 ÷ 60 = 62.5)

Since they are walking in opposite directions, their relative speed is the sum of their speeds:

Relative speed = 75 m/min + 62.5 m/min = 137.5 m/min

To find the time it takes for them to meet, we use the formula:

Time = Distance ÷ Relative Speed

Here, the distance is the circumference of the track:

Time = 726 m ÷ 137.5 m/min ≈ 5.28 minutes

Thus, Pradeep and his wife will meet for the first time in approximately 5.28 minutes.