Quantitative Aptitude
SPEED TIME AND DISTANCE MCQs
Time & Distance
Total Questions : 422
| Page 43 of 43 pages
Answer: Option A. -> 3 : 4
Ratio of speeds :
$$\eqalign{
& = \left( {\frac{{550}}{{60}} \times \frac{{18}}{5}} \right):\left( {\frac{{33}}{{45}} \times 60} \right) \cr
& = 33:44 \cr
& = 3:4 \cr} $$
Ratio of speeds :
$$\eqalign{
& = \left( {\frac{{550}}{{60}} \times \frac{{18}}{5}} \right):\left( {\frac{{33}}{{45}} \times 60} \right) \cr
& = 33:44 \cr
& = 3:4 \cr} $$
Answer: Option C. -> 1 km/min
Time taken to travel 45 km :
$$\eqalign{
& = \left( {\frac{{45}}{{20}}} \right){\text{ hrs}} \cr
& = \frac{9}{4}{\text{ hrs}} \cr
& = 2\frac{1}{4}{\text{ hrs}} \cr
& = 2{\text{ hrs }}15\min \cr} $$
Remaining time = (3 hrs - 2 hrs 15 min) = 45 min
Hence, required speed :
$$\eqalign{
& = \left( {\frac{{45}}{{45}}} \right){\text{ km/min}} \cr
& = 1{\text{ km/min}} \cr} $$
Time taken to travel 45 km :
$$\eqalign{
& = \left( {\frac{{45}}{{20}}} \right){\text{ hrs}} \cr
& = \frac{9}{4}{\text{ hrs}} \cr
& = 2\frac{1}{4}{\text{ hrs}} \cr
& = 2{\text{ hrs }}15\min \cr} $$
Remaining time = (3 hrs - 2 hrs 15 min) = 45 min
Hence, required speed :
$$\eqalign{
& = \left( {\frac{{45}}{{45}}} \right){\text{ km/min}} \cr
& = 1{\text{ km/min}} \cr} $$
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