A takes 2 hours more than B to cover a distance of 40 km. If A doubles his speed, he takes $$1\frac{1}{2}$$ hours more than B to cover 80 km. To cover a distance of 90 km, how much time will B take travelling at his same speed?

A. $$1\frac{3}{8}{\text{hours}}$$

B. $$1\frac{1}{8}{\text{hours}}$$

C. $$1\frac{1}{6}{\text{hours}}$$

D. $$1\frac{1}{3}{\text{hours}}$$

Answer: Option B

Solution (By Examveda Team)

Distance same
Speed = 1 : 2
Time = 2 : 1
1 unit → 2.5
2 unit → 2 × 2.5 = 5 hr
A = 5 hr
B = 1 hr
Speed of B = $$ = \frac{{80}}{1}$$ = 80 km/hr
Time $$ = \frac{{90}}{{80}} = 1\frac{1}{8}{\text{hr}}$$