Subject: General Aptitude · Chapter: Time and Distance · Exam: · Marks: · Difficulty:
In covering a certain distance, the speeds of $A$ and $B$ are in the ratio of 3 : 4. A takes 30 minutes more than $B$ to reach the destination. The time taken by $A$ to reach the destination is
(a)1 hour
(b)$1 \frac{1}{2}$ hours
(c)2 hours
(d)$2 \frac{1}{2}$ hours
Answer
Answer (as printed): C
Explanation
Ratio of speeds $=3: 4$. Ratio of times taken $=4: 3$. Suppose $A$ takes $4 x$ hrs and $B$ takes $3 x$ hrs to reach the destination. Then, $$4 x-3 x=\frac{30}{60}=\frac{1}{2} \text { or } x=\frac{1}{2} . \text { ∴ Time taken by } A=4 x \mathrm{hrs}=\left(4 \times \frac{1}{2}\right) \mathrm{hrs}=2 \mathrm{hrs} .$$
Explanation as extracted from the printed page; notation may be imperfect.