Question

The distance between Ambala and Delhi is $200$ km $750$ m. A car leaves Ambala for Delhi and runs $75$ km $250$ m in one hour. Another car leaves Delhi for Ambala at the same time and runs $83$ km $750$ m in one hour. Find the distance between the two cars after one hour.

Answer 1

Step 1: Finding the distance covered by two cars in meter.

Given: Distance between Ambala and Delhi $=200$ km $750$ m.

$=200,750\mathrm{m}$ [ $1\mathrm{km}=1000\mathrm{m}$ ]

Distance covered by First car $=$ $75$ km $250$ m

$=75,250$ m [ $1\mathrm{km}=1000\mathrm{m}$ ]

Distance covered by Second car $=$ $83$ km $750$ m

$=83,750$ m [ $1\mathrm{km}=1000\mathrm{m}$ ]

Now, the total distance covered by two cars

$$\begin{gathered} =83750+75250 \\ =159000\mathrm{m} \end{gathered}$$

Step 2: Finding the distance between the two cars after one hour.

Distance between the two cars $=$The total distance between Ambala and Delhi $-$Total distance covered by two cars

$$\begin{gathered} =200,750-159,000 \\ =41,750\mathrm{m} \end{gathered}$$

$=41\mathrm{km}750\mathrm{m}$ $\left[\mathrm{since},1\mathrm{km}=1000\mathrm{m}\right]$

Hence, the distance between the two cars after one hour is $41\mathrm{km}750\mathrm{m}$.