UP TGT Mathematics Algebra Test Series - Part 5

Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars tra...

Type: MCQ • Marks: 1
Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car?
Options
A. 40 km/hr
B. 55 km/hr
C. 50 km/hr
D. 60 km/hr
Explanation
Let speeds be x and y (x > y). 5(x - y) = 100 => x - y = 20. 1(x + y) = 100 => x + y = 100. Adding gives 2x = 120 => x = 60 km/hr.
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