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Bus A running at 60 km/hr leaves Jammu for Delhi at 7 a.m. Bus B running at 90 km/hr also leaves Jammu for Delhi at 11 a.m. Bus C leaves Delhi for Jammu at 11 a.m. If all the three Buses meet at the same time between Jammu and Delhi, then what is the speed of Bus C if the distance between Delhi and Jammu is 1260 km?

Bus A running at 60 km/hr leaves Jammu for Delhi at 7 a.m. Bus B running at 90 km/hr also leaves Jammu for Delhi at 11 a.m. Bus C leaves Delhi for Jammu at 11 a.m. If all the three Buses meet at the same time between Jammu and Delhi, then what is the speed of Bus C if the distance between Delhi and Jammu is 1260 km? Correct Answer 67.5 km/hr

GIVEN :

Bus A running at 60 km/hr leaves Jammu for Delhi at 7 a.m.

Bus B running at 90 km/hr also leaves Jammu for Delhi at 11 a.m.

Bus C leaves Delhi for Jammu at 11 a.m.

Distance between Delhi and Jammu is 1260 km

 

CALCULATION :

Say, they meet after t hours.

⇒ 60 × (t + 4) = 90 × t

⇒ t = 8 hrs

In 8 hours distance travelled by Bus A and B = 90 × 8 = 720 km

Distance travelled by C = (1260 – 720) = 540 km

∴ Speed of Bus C = 540/8 = 67.5 km/hr

 

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