A) \[337.5m\,\,\,and\,\,25s\]
B) \[225.5m\,\,and\,\,10s\]
C) \[112.5m\,\,and\,\,22.5s\]
D) \[11.2.5m\,\,and\,\,15s\]
Correct Answer: C
Solution :
The distance travelled in 15 seconds by both will be given by area under curve. For car, \[{{s}_{1}}=\frac{1}{2}\times 15\times 45\] \[{{s}_{1}}=337.5m\] For scooter, \[{{s}_{2}}=15\times 30\] \[{{s}_{2}}=450\] \[{{s}_{1}}-{{s}_{2}}=112.5m\] Suppose after time t, they will meet, then distance travelled by both of them will be equal. \[30t=\frac{1}{2}\times 15\times 45+45\times (t-15)\] \[30t=337.5+45t-675\] \[15t=337.5\] \[t=22.5s\]You need to login to perform this action.
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