Question : A can run 250 m in 25 sec and B in 30 sec. How many metres start can A give to B in a 1 km race so that the race may end in a dead heat?
Option 1: 169.53 m
Option 2: 173.82 m
Option 3: 166.67 m
Option 4: 186.34 m
Correct Answer: 166.67 m
Solution : A can run 250 m in 25 seconds. ⇒ A can run 1000 m in $\frac{25}{250} \times 1000$ = 100 seconds B can run 250 m in 30 seconds. ⇒ B can run 1000 m in $\frac{30}{250} \times 1000$ = 120 seconds Distance covered by B in an extra 20 seconds = $\frac{20}{120} \times 1000 = \frac{500}{3}$ = 166.67 m Therefore, A beats B by 166.67 m. For a dead-heat race, A must give B a start of 166.67 m. Hence, the correct answer is 166.67 m.
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Question : In a race of 1200 m, Ram can beat Shyam by 200 m or by 20 sec. What must be the speed of Ram?
Option 1: 14 m/sec
Option 2: 12 m/sec
Option 3: 10 m/sec
Option 4: 16 m/sec
Question : A train 270 m long, is running at a speed of 36 km/hr, then it will cross a bridge of length 180 m in:
Option 1: 40 sec
Option 2: 45 sec
Option 3: 50 sec
Option 4: 35 sec
Question : How many seconds will a train 120 m long, running at the rate of 36 km/hr take to cross a bridge of 360 m in length?
Option 1: 48 sec
Option 2: 40 sec
Option 3: 46 sec
Option 4: 36 sec
Question : A car completed a journey of 400 km in $12\frac{1}{2}$ hours. The first $\frac{3}{4}$th of the journey was done at 30 km/hr. Calculate the speed for the rest of the journey.
Option 1: 45 km/hr
Option 2: 25 km/hr
Option 3: 40 km/hr
Option 4: 30 km/hr
Question : In a 500-metre race, the ratio of speeds of two runners P and Q is $3:5$. P has a start of 200 metres, then the distance between P and Q at the finish of the race is:
Option 1: P wins by 100 metres
Option 2: Both reach at the same time
Option 3: Q wins by 100 metres
Option 4: Q wins by 50 metres
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