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Saturday, December 15, 2018

The speeds of A and B are in the ratio 3 : 4. A takes 20 min

The speeds of A and B are in the ratio 3 : 4. A takes 20 min more than B to reach a destination. In what time does A reach the destination?
A Created by potrace 1.10, written by Peter Selinger 2001-2011
B2 h
C Created by potrace 1.10, written by Peter Selinger 2001-2011
D Created by potrace 1.10, written by Peter Selinger 2001-2011

Answer is : \(1\frac{1}{3} h\)

Ratio of speed = 3:4;
Ratio of time taken = 4:3 (distance remains constant.)
Let time taken by A and B be 4x and 3x hour respectively.

Then,
\(4x-3x = \frac{20}{60};\)
\(=> x = \frac{1}{3};\)
Hence, time taken by A = 4x
\(= 4*\frac{1}{3} = 1\frac{1}{3} hours.\)

Nithin K
answered Nov 20 '2016 at 19:6

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