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Standard VI

Mathematics

Direct Variation

X and Y are t...

Question

X and Y are two stations which are $320$ miles apart. A train starts at a certain time from X and travels towards Y at $70$ mph. After $2$ hours, another train starts from Y and travels towards X at $20$ mph. At what time do they meet?

After

2

hrs

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After

3

hrs

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After

4

hrs

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After

5

hrs

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Solution

The correct option is C After $4$ hrs
Distance traveled by train coming from Y in $2$ hours $= 20 \times 2 = 40$ miles
They will meet at a distance of $320 - 40 = 280$ miles from X
Time required to cover $280$ miles by train coming from X
$= \frac{280}{70} = 4$ h
Hence they meet after $4$ hours.

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X and Y are two stations which are 320 miles apart. A train starts at a certain time from X and travels towards Y at 70 mph. After 2 hours, another train starts from Y and travels towards X at 20 mph. At what time do they meet?

The correct option is C After 4 hrsDistance traveled by train coming from Y in 2 hours=20×2=40 milesThey will meet at a distance of 320−40=280 miles from XTime required to cover 280 miles by train coming from X=28070=4 h Hence they meet after 4 hours.

X and Y are two stations which are $320$ miles apart. A train starts at a certain time from X and travels towards Y at $70$ mph. After $2$ hours, another train starts from Y and travels towards X at $20$ mph. At what time do they meet?

The correct option is C After $4$ hrs
Distance traveled by train coming from Y in $2$ hours $= 20 \times 2 = 40$ miles
They will meet at a distance of $320 - 40 = 280$ miles from X
Time required to cover $280$ miles by train coming from X
$= \frac{280}{70} = 4$ h
Hence they meet after $4$ hours.