Speed Time and Distance Test Paper 26) Two boys start running at the same time in the same direction at a speed of 10 km/hr and 12 km/hr respectively. In what time they will be 8 km apart?
The correct answer is (B) Answer with explanation: Both the boys are in motion so we will consider relative speed to find the time. Relative speed = 12  10 = 2 km/hr Distance = 8 km Time =^{8}⁄_{2}= 4 hours (Option B) 7) A man walking at a speed of 8 km/hr covers a certain distance in 1 hour 45 minutes. If he runs at a speed of 10 km/hr, in what time he will cover the same distance?
The correct answer is (D) Answer with explanation: Distance = Speed * Time Speed = 8 km/hr Time = 1 hour 45 minutes = ^{105}⁄_{60}minutes =^{21}⁄_{12} hrs Distance = 8 *^{21}⁄_{12}=^{168}⁄_{12}= 14 km Time required to cover the 14 km at a speed of 10 km/hr = Time in minutes = 1.4 * 60 = 84 minutes (Option D) 8) A horse covers a certain distance in 40 minutes if it runs at a speed of 60 km/hr. At what speed the horse can cover the same distance in 30 minutes?
The correct answer is (A) Answer with explanation: Distance = Speed x Time Speed = 60 km/hr Time = 40 minutes →^{40}⁄_{60}hrs Distance = 60 *^{40}⁄_{60}=^{2400}⁄_{60} = 40 km Speed of horse to cover 40 km in 30 minutes or ^{30}⁄_{60}hrs would be: 9) A car moving at a speed of 75 km/hr covers certain distance in 2 hours. If its speed is reduced by 15 km/hr, in what time it will cover the same distance?
The correct answer is (C) Answer with explanation: Distance = speed x time = 75 * 2 = 150 km New speed = 75 15= 60 km/hr Required time =^{150}⁄_{60}=^{5}⁄_{2}hrs We need answer in minutes: ^{5}⁄_{2}*60=^{300}⁄_{2}= 150 minutes (Option C) 10) At his usual speed a cyclist covers a certain distance in 8 hours. When the speed of cycle is increased by 4 km/hr the same distance can be covered in 6 hours. Find the distance.
The correct answer is (C) Answer with explanation: Distance = speed * time Let the distance is = X Difference in speed is given = 4 km/hr Therefore, ^{X}⁄_{6} ^{X}⁄_{8} = 4 = 4 X = 96 km (Option C) Speed Time and Distance Aptitude Test Paper 1 Speed Time and Distance Aptitude Test Paper 3 Speed Time and Distance Aptitude Test Paper 4 Speed Time and Distance Aptitude Test Paper 5 Speed Time and Distance Concepts
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