Question

Two brothers left home for a cinema hall. One brother
rode a bicycle at 25.2 km/h to reach the cinema hall
5 min 50 s after the other brother who took a taxi that
drove at 37.8 km/h. How far was the cinema hall from
their home?​

Answer 1

d= s×time= 37.8km/h ×t (1)

d= s×time= 25.2km/h ×(t+5min 50s) (2)

equating (1) and (2)

we have,

37.8km/h×t=25.2km/h×(t+5m 50s)

378/252=t+5m 50s/t

3/2=1+5m 50s/t

1.5-1= 5m 50s/t

.5t= 5m 50s

t=350s/.5= 700s

From equation (1) or (2)

D= speed ×time= 25.2km/h × (700s+5m 50sec)

=25200m×1050s/60×60 sec

=7m×1050= 7350m or 7.35km