Question

Sam drives his car at a speed of $100$ miles per $2$ hours. Jack rides his motorcycle at a speed of $300$ miles per $5$ hours. Who will cover a longer distance in $10$ hours?

• A. Jack
• B. Sam
• C. Nothing can be inferred from the given data.
• D. Both will travel the same distance in $10$ hours.

Answer 1

The correct option is A Jack

Sam :
Unit rate = distance traveled in $1$ hour $=\frac{\text{distance traveled}}{\text{number of hours}}=\frac{100}{2}=50\text{mi per h}$
Distance Sam will cover in $10$ hours $=50\times 10=500mi$

Jack:
Unit rate = distance traveled in $1$ hour $=\frac{\text{distance traveled}}{\text{number of hours}}=\frac{300}{5}=60\text{mi per h}$
Distance Jack will cover in $10$ hours $=60\times 10=600mi$
Hence, Jack will cover a longer distance than Sam in $10$ hours.