boat problem

Algebra Level 2

Two boats, travelling at 5 and 10 Kms per hour, head directly towards each other. They begin at a distance of 20kms from each other. How far apart are they (in Kms ) one minute before they collied?

1/4 1/12 1/6 1/3

Hemlata Sharma by Hemlata Sharma , 27, India

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2 solutions

Nilesh Shelar
Jun 9, 2014

boats are travelling in opposite direction hence thier relative speed is 5 + 10 = 15

toal distance is 20 km

time to collide with each other is 20/15 = 4/3 hr i.e 80 min

before 1 min i.e. 80-1 = 79

the distance between two boats will be speed * time=distance

so 15*79/60 = 0.25 km (79 min are converted in hr)

i.e. 1/4 km

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good one nilesh ......chava :)

Ajit Panada - 7 years ago
Hemlata Sharma
Jun 2, 2014

In the final minute before collision, two boats travel 5/60 km and 10/60 km, I.e. , 1/12km and. 1/6 km.

As they move in opposite directions, distance between the boats one minute before collision = 1/12 + 1/6 =1/4 km

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