How long must a driver take to drive the final 70 miles of a trip if he wants to average 50 miles an hour for the entire trip and during the first part of the trip he drove 50 miles in $$1\frac{1}{2}$$ hours ?
A. 54 min
B. 1 hr
C. 66 min
D. 70 min
Answer: Option A
Solution(By Examveda Team)
Total distance = (57 + 50) miles = 120 milesAverage speed = 50 miles/hour
Required time of journey :
$$\eqalign{ & = \left( {\frac{{120}}{{50}}} \right){\text{ hr}} \cr & = \frac{{12}}{5}{\text{ hr}} \cr & = 2\frac{2}{5}{\text{ hr}} \cr & {\text{ = 2 hr }}24{\text{ min}} \cr} $$
Time taken to cover 50 miles :
$$\eqalign{ & = {\text{1}}\frac{1}{2}{\text{ hr}} \cr & = 1{\text{ hr 30 min}} \cr} $$
∴ Remaining time :
= (2 hr 24 min - 1 hr 30 min)
= 54 min
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
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