Two ships take different routes to reach the "spice capital of the world". The Distances travelled by the two ships are in the ratio of 3:2. Ship 1 moves at 40kmph, and ship 2 travels at 60kmph. If the two ships arrived at their destination with a Time gap of 1 hour, what is the distance travelled by both ships together?
Show answer & explanation
Correct answer: A
Explanation
Ratio of distances (D1 : D2) = 3 : 2
Ratio of speeds (S1 : S2) = 40 : 60 = 2 : 3
Ratio of times (T = D/S)
= (3/2) ÷ (2/3) = 9 : 4
Difference in time = 9 − 4 = 5 units
5 units = 1 hour
1 unit = 1/5 hour
Distance 1 = Speed 1 × Time 1
= 40 × (9/5)
= 72 km
Total distance = 72 × (5/3) = 120 km