1. The local bus service has 2 lines of buses that start together at 8 a.m. Buses on line A leave after every 15 minutes while Buses on line B leave after every 20 minutes. In a day, how many times do buses on both line A and B leave together between 8 am, and 11 a.m.
please give step by step answer
Answers
Answer:
3 Times
Step-by-step explanation:
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Solution :-
→ Both buses A and B leaves leaves together at = 8 AM .
now,
→ Buses on line A leaves after = Every 15 minutes .
→ Buses on line B leaves after = Every 20 minutes .
So, Both buses leaves together after LCM(15, 20) minutes .
→ 15 = 3 * 5
→ 20 = 2 * 2 * 5
→ LCM = 2 * 2 * 3 * 5 = 60 minutes = 1 hour .
then,
→ Time difference between 11 AM - 8AM = 3 hours .
therefore,
→ In 3 hours both buses leaves together in 3/1 = 3 times (Ans.)
Hence, 3 times do buses on both line A and B leave together .
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