.A train running at 7/11 of its own speed reached a placein 33 hrs. How much time could be saved if the trainruns at its own speed?
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Answers
Answer:
8 hours
Step-by-step explanation:
The train ran at less than its full speed, which means it ran at a fraction of its full speed. This fraction is 7/11.
So, according to the question.
New speed = 7/11th of the usual speed
Then, new time = 11/7 of the usual time
So, 11/7 of usual time 22 hours
Usual time = (22*7)/11
= 154/11
= 14 hours
Usual time is 14 hours and the time taken at less speed is 22 hours.
Hence, Time can be saved if the train would run at its usual speed
→ 22 - 14 = 8 hours.
Let its own speed be x
- Speed of the train = 7x/11
- Time to reach the place = 33 hrs
So, Distance = speed of the train × Time to reach the place
= (7x/11) × 33
= 21x unit.
Now , The own speed of the train= x
and distance = 21x unit.
so, time = distance/speed
= 21x/ x
= 21 hrs
So, the time could be saved (33-21)hrs = 12hrs
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