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QThe Delhi Express travels at 144 kilometres per hour and arrives 20 minutes ahead of time. If it averages 100 km/h, it will arrive 24 minutes late. What should its average speed be in order to get at its destination on time?
ID: #4686
Time and Distance
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Time and DistanceTopic
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The time taken to reach the destination on schedule is given by the formula time = distance / speed, where distance is the distance to be traveled and speed is the speed at which the vehicle is traveling. We are given two equations that relate the distance to be traveled, the speed at which the vehicle is traveling, and the time taken to reach the destination on schedule: D/144 = D/S - 1/3 D/100 = D/S + 2/5 Subtracting the first equation from the second gives us the following equation: 44D/14400 = 11/15 Solving this equation for D gives us D = 14400 x 11/ 44 x 15 = 240. Therefore, the distance D that the vehicle needs to travel in order to reach its destination on schedule is 240 kilometers.
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