An algebra problem by A Former Brilliant Member

Algebra Level pending

Two cars start at 8:00 A.M. from the same point going in the opposite directions, at speeds of 40 miles and 60 miles per hour, respectively. What time will they be 240 miles apart?

Try some of my problems: Math Problems - Set 1 .

9:46 A.M 10:14 A.M 10:24 A.M. 10:30 A.M

1 solution

A Former Brilliant Member
Dec 22, 2016

let $d_A$ =distance traveled by Car A at time $t$

and $d_B$ =distance traveled by Car B at time $t$

we know that $d=Vt$ , so $d_A$ $=$ $40t$ and $d_B$ $=$ $60t$

from the figure,

$d_A$ $+$ $d_B=240$

$40t+60t=240$

$t=2.4$ $hours$ $or$ $2$ $hours$ $and$ $24$ $minutes$

$time=8:00+2$ $hours$ $and$ $24$ $minutes=10:24$ $A.M.$

An algebra problem by A Former Brilliant Member

1 solution

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