The ratio between the time taken by three cars (A, B and C) that travel the same distance is 12 : 15 : 10. If VA = 60 km/hr Find VB.
Solution
Correct Answer: Option C
\(\begin{array}{l} {t_A}:{t_B}:{t_C} = 12:15:10\\ {t_A} = 12\ K \end{array}\)
\({t_B} = 15\ K\) D = distance
\({t_C} = 10\ K\)
Speed (v) = Distance/Time
\(\begin{array}{l} \Rightarrow {V_A}:{V_B}:{V_C} = \frac{D}{{12k}}:\frac{D}{{15k}}:\frac{D}{{10k}}\\ = \frac{1}{{12}}:\frac{1}{{15}}:\frac{1}{{10}}\\ \Rightarrow {V_A}:{V_B}:{V_C} = {\rm{}}5{\rm{}}:{\rm{}}4{\rm{}}:{\rm{}}6 \end{array}\)
⇒ VA = 5λ, VB = 4λ, VC = 6λ
Given: VA = 60 km/hr = 5λ
⇒ λ = 12
⇒ VB= 48 km/hr
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