Two cars took the same route from Dehradun to Delhi without stopping. The ratio of the average speed of car P to that of car Q was 4:7.If car P takes 280 minutes to reach Delhi, how long will car Q take to reach the same destination?490 minutes178 minutes160 minutescannot say
Question
Two cars took the same route from Dehradun to Delhi without stopping. The ratio of the average speed of car P to that of car Q was 4:7.If car P takes 280 minutes to reach Delhi, how long will car Q take to reach the same destination?490 minutes178 minutes160 minutescannot say
Solution
The problem involves the concept of speed, distance, and time. The formula for speed is distance/time. Since both cars are traveling the same distance, we can set up a ratio of their speeds as a ratio of their times.
The ratio of the speeds of car P to car Q is 4:7. This means that for every 4 units of distance car P travels, car Q travels 7 units.
Since speed is inversely proportional to time taken when the distance is constant, the ratio of time taken by car P to car Q will be the inverse of the speed ratio, i.e., 7:4.
Given that car P takes 280 minutes to reach Delhi, we can set up the proportion:
7/4 = 280/x
Solving for x (which represents the time car Q takes to reach Delhi), we get:
x = (280 * 4) / 7 = 160 minutes
So, car Q will take 160 minutes to reach Delhi.
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