Question

Two cyclist start from the same point and at the same time with speed 12 km per hour and 18 kilometre per hour respectively find the distance between the cyclist after 6 hours. If both are in same direction or opposite direction.​

Answer 1

Answer:

same direction 36km and opposite direction 180km

Answer 2

Total Distance cover by both cyclist in same direction is 36 km

Total Distance cover by both cyclist in opposite direction is 180 km .

Step-by-step explanation:

Given as :

Two cyclist start from the same point and at the same time

The distance between the points AB = d km

The speed of cyclist from point A = 12 km/h

The speed of cyclist from point B = 18 km/h

Both the cyclist travel for  6 hours

Let both cyclist cover half the distance

According to question

∵ Distance = Speed × Time

For cyclist from point A

$D_A$  = 12 km/h × 6 h

$D_A$ = 72 km

So, Distance travel by cyclist from point A = $D_A$ = 72 km

Again

For cyclist from point B

 $D_B$  = 18 km/h × 6 h

 $D_B$ = 108 km

So, Distance travel by cyclist from point B =  $D_B$ = 108 km

When cyclist travel in same direction,

Total Distance cover by both cyclist =  $D_B$ - $D_A$

                                                           = 108 km - 72 km

                                                           = 36 km

When cyclist travel in opposite direction,

Total Distance cover by both cyclist =  $D_B$ + $D_A$

                                                           = 108 km + 72 km

                                                           = 180 km

Hence, Total Distance cover by both cyclist in same direction is 36 km

And Total Distance cover by both cyclist in opposite direction is 180 km . Answer