Q1) Buses start to leave from a bus depot at 7:00 a.m. The Island Express leaves the depot 90-
every 18 minutes. The Bay Express leaves the depot every 15 minutes. - hegur
13.
a) At what time during the day will both the buses depart from the depot at the
same time? 8.30 am
6) How many times will both the buses depart from the depot together in the next
- 4 timers
4 hours?
20
ctively
Answers
Answered by
0
Answer:
Giving you an example
Step-by-step explanation:
Taking statement at face value and simplest scenario that starting 08:00am the buses follow a route from depot that returns bus A to depot at 25min intervals and Bus B at 35min intervals.
The time both buses are back at Depot simultaneously will be when N(a) * 25mins = N(b) * 35mins,
so when N(b) * 35 is exactly divisible by 25 (Where N(a) and N(b) are integers)
1. Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc etc
2. First Multiple of 25 (BUS A) matching value of BUS B value is 175 (7 * 25)
(after 7 circuits by BUS A and 5 circuits by Bus B)
So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is
at 08:00 + 2:55 = 10:55
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