coxbazar divisional 2014 Q.no.1

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coxbazar divisional 2014 Q.no.1
Avik runs twice as fast as Tusher. Kamrul runs 4 times slower than Tusher. They started running together. After some time if the distance between Kamrul and Avik is 105 meters than find the total of the distances they covered individually.
Re: coxbazar divisional 2014 Q.no.1
It can be solved in the way of Physics!
The velocity of Kamrul $a$ m/s
The velocity of Tusher $4a$ m/s
The velocity of Avik $8a$ m/s
After a limited time $t$, Kamrul, Tusher and Avik passed $at$ m, $4at$ m and $8at$ m respectively.
Then, $8atat=150$
$7at=105$
$13at=\frac{105*13}{7}$
As the total passed distance=$at+4at+8at=13at$, they passed this distance in total.
The velocity of Kamrul $a$ m/s
The velocity of Tusher $4a$ m/s
The velocity of Avik $8a$ m/s
After a limited time $t$, Kamrul, Tusher and Avik passed $at$ m, $4at$ m and $8at$ m respectively.
Then, $8atat=150$
$7at=105$
$13at=\frac{105*13}{7}$
As the total passed distance=$at+4at+8at=13at$, they passed this distance in total.