(C) The thief starts at $2.30$ $p.m.$ and the owner starts at $3.00$ $p.m.$.In these $30$ minutes ($0.5$ hours),the distance covered by the thief is $

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(C) The thief starts at $2.30$ $p.m.$ and the owner starts at $3.00$ $p.m.$.In these $30$ minutes ($0.5$ hours),the distance covered by the thief is $60 \times 0.5 = 30\, km$.Now,the relative speed of the owner with respect to the thief is $75 - 60 = 15\, km/h$.The time taken by the owner to cover the $30\, km$ gap is $\frac{30\, km}{15\, km/h} = 2$ hours.Since the owner started at $3.00$ $p.m.$,he will overtake the thief at $3.00 + 2 = 5.00$ $p.m.$

Competitive Quantitative Aptitude Time and Distances Time and Distances

Medium

$A$ thief steals a car at $2.30$ $p.m.$ and drives it at $60\, km/h$. The theft is discovered at $3.00$ $p.m.$ and the owner sets off in another car at $75\, km/h$. When will he overtake the thief? (in $p.m.$)

A
$4.30$
B
$4.45$
C
$5.00$
D
$5.15$

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Time and Distances

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Time and Distances

$A$ man driving at $\frac{3}{4}$ of his original speed reaches his destination $20 \text{ minutes}$ later than the usual time. Then the usual time is (in $\text{minutes}$)

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$A$ man crosses a stationary bus in $18\, s$. The same bus crosses a pole in $4\, s$. What is the ratio of the speed of the bus to the speed of the man?

Medium

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It takes $24 \, s$ for a train travelling at $93 \, km/h$ to cross entirely another train half its length travelling in the opposite direction at $51 \, km/h$. It passes a bridge in $66 \, s$. What is the length of the bridge in meters?

Medium

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Three men step off together from the same spot. Their steps measure $63 \, cm$,$70 \, cm$,and $77 \, cm$ respectively. The minimum distance each should cover so that all can cover the distance in complete steps is (in $cm$):

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$A$ car starts with a speed of $70 \, km/h$ and its speed increases by $10 \, km/h$ every two hours. In how many hours will it cover $345 \, km$?

Medium

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$A$ thief steals a car at $2.30$ $p.m.$ and drives it at $60\, km/h$. The theft is discovered at $3.00$ $p.m.$ and the owner sets off in another car at $75\, km/h$. When will he overtake the thief? (in $p.m.$)

Similar Questions

$A$ man driving at $\frac{3}{4}$ of his original speed reaches his destination $20 \text{ minutes}$ later than the usual time. Then the usual time is (in $\text{minutes}$)

$A$ man crosses a stationary bus in $18\, s$. The same bus crosses a pole in $4\, s$. What is the ratio of the speed of the bus to the speed of the man?

It takes $24 \, s$ for a train travelling at $93 \, km/h$ to cross entirely another train half its length travelling in the opposite direction at $51 \, km/h$. It passes a bridge in $66 \, s$. What is the length of the bridge in meters?

Three men step off together from the same spot. Their steps measure $63 \, cm$,$70 \, cm$,and $77 \, cm$ respectively. The minimum distance each should cover so that all can cover the distance in complete steps is (in $cm$):

$A$ car starts with a speed of $70 \, km/h$ and its speed increases by $10 \, km/h$ every two hours. In how many hours will it cover $345 \, km$?

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