| A scooter covers a distance of 30 km travelling at an average speed of 36 km/h. What distance can the scooter travel in the same time, if it increases its speed to 42 km/h? [LIC (ADO) 2015] |
A) 45 km
B) 32 km
C) 38 km
D) 40 km
E) 35 km
Correct Answer: E
Solution :
| Distance [d] = 30 km |
| Speed (v) \[=36km/h\]\[\Rightarrow \] Then, \[\text{v}=\frac{d}{t}\] |
| \[\text{Time}\,(t)\,=\frac{d}{\text{v}}=\frac{30}{36}\]\[\Rightarrow \]\[t=\frac{5}{6}h\] |
| If speed = 42 km /h |
| Then, distance cover by the scooter in the same time \[=\frac{5}{6}\times 42=5\times 7=35\,km\] |
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