A train travels at 75 km/h for 0.44
hour, 60 km/h for next 0.33 hours
and then 65 km/h for the next 0.61
hour
what is the average
speed of trip?
Answers
Given :-
★ A train travels at 75 km/h for 0.44
hour, 60 km/h for next 0.33 hours
and then 65 km/h for the next 0.61
hour.
To Find :-
★ What is the average speed of the train?
Solution :-
At first, we have to find total distance.
We know,
Distance = Speed × Time
Hence,
✰ Distance, D(1) ( When speed 75 km/hr & time 0.44 hrs)
= 75 × 0.44
= 33 km
✰ Distance, D(2) ( When speed 60 km/hr & time 0.33hrs)
= 60 × 0.33
= 19.8 km
✰ Distance, D(3) ( When speed 65 km & time 0.61 hrs)
= 65 × 0.61
= 39.65 km
Therefore,
total distance
= D(1) +D(2) + D(3)
= (33 + 19.8 + 39.65) km
= 92.45 km
Total time
= ( 0.44 +0.33 + 0.61) hrs
= 1.38 hrs
We know,
Average speed = Total distance /Total time
Now, put the given values
Average speed = Total distance /Total time
= 92.45 / 1.38
= 66.993 km/hr
Hence,
Average speed of the train is = 66.993 km/hr
Answer:
Given :-
★ A train travels at 75 km/h for 0.44
hour, 60 km/h for next 0.33 hours
and then 65 km/h for the next 0.61
hour.
To Find :-
★ What is the average speed of the train?
Solution :-
At first, we have to find total distance.
We know,
Distance = Speed × Time
Hence,
✰ Distance, D(1) ( When speed 75 km/hr & time 0.44 hrs)
= 75 × 0.44
= 33 km
✰ Distance, D(2) ( When speed 60 km/hr & time 0.33hrs)
= 60 × 0.33
= 19.8 km
✰ Distance, D(3) ( When speed 65 km & time 0.61 hrs)
= 65 × 0.61
= 39.65 km
Therefore,
total distance
= D(1) +D(2) + D(3)
= (33 + 19.8 + 39.65) km
= 92.45 km
Total time
= ( 0.44 +0.33 + 0.61) hrs
= 1.38 hrs
We know,
Average speed = Total distance /Total time
Now, put the given values
Average speed = Total distance /Total time
= 92.45 / 1.38
= 66.993 km/hr
Hence,
Average speed of the train is = 66.993 km/hr
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