A car covers $80 k m$ in $2 h o u r s$ and a bus covers $100 k m$ in $5 h o u r s$ . Which of the two travels faster?

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Solution

To find out which vehicle is faster, we should have to calculate their respective speeds.
Step-1: Given
Distance covered by the car, $D_{c} = 80 k m$
Time taken by car, $T_{c} = 2 h o u r s$
Distance covered by bus, $D_{B} = 100 k m$
Time taken by bus, $T_{B} = 5 h o u r s$
Step-2: Formula used
$S p e e d (ν) = \frac{D i s \tan c e (D)}{T i m e t a k e n (T)}$
Step-3: Calculating Speed of car
$S p e e d (ν_{c}) = \frac{D i s \tan c e (D_{c})}{T i m e t a k e n (T_{c})} \Rightarrow S p e e d (ν_{c}) = \frac{80 k m}{2 h o u r s} \Rightarrow S p e e d (ν_{c}) = 40 \frac{k m}{h} . . . . . . . . . . . . . . . . . E q . 1$
Step-4: Calculating Speed of bus
$S p e e d (ν_{B}) = \frac{D i s \tan c e (D_{B})}{T i m e t a k e n (T_{B})} \Rightarrow S p e e d (ν_{B}) = \frac{100 k m}{5 h o u r s} \Rightarrow S p e e d (ν_{B}) = 20 \frac{k m}{h} . . . . . . . . . . . . . . . . . E q . 2$
Hence from equations $1 & 2$ , the speed of car is greater than bus so car is faster than bus.

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