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NIKESH RAJAK

· started a discussion

· 1 Months ago

wrong solution (Question:118075.0)

wrong solution plz check

Question:
Two boats, traveling at 5 and 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms) one minute before they collide.
Options:
A) \(\cfrac{1}{12}\)
B) \(\cfrac{1}{6}\)
C) \(\cfrac{1}{4}\)
D) \(\cfrac{1}{3}\)
Solution:


The boats will be colliding after a time which is given by;

\(t = \cfrac{20}{5+10}= \cfrac{4}{3}\) hours = 80 minutes.

After this time of 80 minutes, boat (1) has covered

\(80×\cfrac{5}{60} kms= \cfrac{20}{3} kms,\)

whereas boat (2) has covered

\(80×\cfrac{10}{60} kms= \cfrac{40}{3} kms,\)

After 79 minutes, distance covered by the first boat

\(= d_1 = \left ( \cfrac {20}{3}-\cfrac{5}{60} \right ) kms\)

After 79 minutes, distance covered by the second Boat

\(= d_2 = \left ( \cfrac {40}{3}-\cfrac{10}{60} \right ) kms\)

So the separation between the two boats

\(= 20 - (d_1+d_2 )= \cfrac{1}{4} kms\)

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