The speed of a boat in still water is 17 5 kmph and that of current is 2 5 kmph The boat goes from X...........

Quantitative Aptitude ( CCS) Time & distance

The speed of a boat in still water is 17.5 kmph and that of current is 2.5 kmph. The boat goes from X to Y in downstream and returns to point Z, The whole journey takes 429 minutes. The distance between Z and Y is 2/5th of the distance between X and Y, Find the total distance covered by the boat. (Approximated to the nearest integer).

130 km

140 km

160 km

120 km

छोटे Courses बड़े Results

Master Time & distance

Prepare through Micro-courses

Try Now

Explanation:

Rate downstram of boat = 17.5 + 2.5 = 20 kmph
Rate upstream of boat = 17.5 – 2.5 = 15 kmph
Distance XY = x km.
∴ Distance YZ =2x/5 km.
Total time = 429 minutes
143/20 hours = 143/20 hours
∴ x/20 + 2x/(5 × 15) = 143/20
[∴ Distance/Speed = Time]
= x/4 + 2x/15 = 143/4
= (15x + 8x)/60 = 143/4
= 23x = 143 × 15
= x= 143 × 15/23 = 93 km.
∴ Total distance = x + 2x/5 = 7x/5
= 7 × 93/5 = 130 km.