Correct Answer - Option 4 : 27.5 min

**Given: **

Speed of P = 11km/h

Speed of Q = 13 km/h

Starting time of P = 8 am

Starting time of Q = 9 am

**Formula Used:**

Speed = Distance/Time

**Concept Used:**

If two objects are moving with speeds S_{1} and S_{2} in the opposite direction

Their relative speed is S_{1} + S_{2}

**Calculation:**

Distance traveled by P in 1 hour = 11 × 1 = 11 km

Distance traveled by P till 9 am = 11km

11 km is to be covered with the relative speed of both to meet.

Relative speed = 11 + 13 =24 km

Time required = 11/24 h = 11/24 × 60 min = 27.5 min

**∴**** They will meet after 27.5 minutes.**