Question

Bus route A starts at the bus station and takes 40 minutes.
Bus route B also starts at the bus station and takes 30 minutes.
Both routes begin at 9am, therefore leave the bus station at the same time.
At what time do both routes leave the bus station at the same time for the fourth time in the day

Answer 1

Answer:

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Answer 2

Given: Bus route A starts at the bus station and takes 40 minutes.

Bus route B also starts at the bus station and takes 30 minutes.

Both routes begin at 9am

To Find : At what time do both routes leave the bus station at the same time for the fourth time in the day?

Solution:

Bus route A starts at the bus station and takes 40 minutes.

Bus route B also starts at the bus station and takes 30 minutes.

Both will leave at the same time again LCM (40 , 30)

40 = 2 * 2 * 2 * 5

30 = 2 * 3 * 5

LCM = 2* 2 *2 * 3 * 5  = 120

120 mins = 2 hrs

Buses leave together every 2 hrs

Buses leaves for 1st time at 9 : 00 AM

Buses leaves for 2nd time at 11 : 00 AM

Buses leaves for 3rd time at  1: 00 PM

Buses leaves for 4th time at  3 : 00 PM

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