The speed of the bus increases by 2kmph after every one hour. If the distance travelled in first one hour was 35 km, what was the total distance travelled in 12 hours?
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The speed of the bus increases by 2kmph after every one hour. If the distance travelled in first one hour was 35 km, what was the total distance travelled in 12 hours?
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Answer:
hey here is your answer
pls mark it as brainliest
so here we go
Step-by-step explanation:
now in this sum we have to use concept of ap ie arithmetic progression
so basically as here speed of bus increases by 2km/h every hour,this means that difference between each of 12 hours would be same ie constant ie would remain 2km/h only
so as common difference is constant the increase in sapped of bus every hour forms a sequence of arithmetic progression
now for above ap,
a=t1=first term=35
d=common difference=2
n=number of hours=12
so then now as it is asked here total hours
which means that we need to find sum of distance covered in 12 hours
so use formula
Sn=n/2×2a+(n-1)d
so put n=12
and then again substitute values of a and d in flrespected formula we get
Sn=552
hence total distance travelled in 12 hours is 552 km