Jason's office is $ 15 \frac{2}{5} k m $ from his home. He walks $1 \frac{1}{2} k m $ from home and travels a distance of $ 5 \frac{1}{2} k m $ in an auto to reach the bus-stand. He covers the remaining distance to his office by bus. What distance does
Jason travel by bus?
Express the answer as a mixed fraction.

Given: Jason's office is $15 \frac{2}{5} k m $ from his home

He walks $1 \frac{1}{2} k m $ from home

Travels a distance of $ 5 \frac{1}{2} k m $ in an aut

Remaining distance is covered by bus 

To do:  Find the distance travelled by Jason by bus

Solution:

Total distance to office  = $15 \frac{2}{5} k m $ 

                                            =$\frac{77}{5}km$

Distance traveled by walk  =  $1 \frac{1}{2} k m $

                                                =$\frac{3}{2}$

Distance traveled by auto  =  $5 \frac{1}{2}$  km

                                                =$\frac{11}{2}$

Total distance to office  = Distance traveled by walk + Distance traveled by auto + Distance traveled by bus

$\frac{77}{5}km$   = $\frac{3}{2}$   +  $\frac{11}{2}   +$  Distance traveled by bus

$\frac{77}{5}km$   =  $\frac{11+3}{ 2}   +$  Distance traveled by bus

$\frac{77}{5}km$    =  $\frac{14}{ 2}   +$ Distance traveled by bus

$\frac{77}{5}   =  7  +$  Distance traveled by bus

Distance traveled by bus  $+ 7  =  \frac{77}{ 5}$

Distance traveled by bus  =  $\frac{77}{5} - 7$

                                               = $\frac{77-35}{5}$

                                               =$\frac{42}{5}$

$8 \times 5 + 2  =  42$

So , Distance traveled by bus  =  $8 \frac{2}{5} km$

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Updated on: 10-Oct-2022

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