Question

The Karnataka express started from Bangalore to Bhopal at 7 pm at a speed of 60 Kmph. Another train, MP express started from Bhopal to Bangalore at 4 am next morning at a speed of 90 Kmph. Find the time at which the two trains will meet, if the distance between Bangalore and Bhopal is 800 km.

• A. 5.30 am
• B. 4.48 am
• C. 5.44 am
• D. 6.02 am
• E. 5.12 am

Answer 1

The correct option is C

5.44 am

Distance travelled by Karnataka express till 4 am = 9*60 = 540 kmph

Distance remaining = (800-540)km = 260 km

Relative speed = (60+90)kmph = 150 kmph

Time required to travel This distance = $\frac{260}{150}$ * 60 = 104 minutes = 1 hr 44 mins

Time at which train meets = 4 am + 1 hr 44 mins

= 5.44 am.