Question

A bomb of mass 1kg initially at rest,explodes and breaks into 3 fragments of masses in the ratio 1:1:3. The two pieces of equal mass fly off perpendicular to each other with speed 15m/sec each. The speed of heavier fragment is
(1)5m/sec
(2)15m/sec
(3)45m/sec
(4)5*sqroot(2)m/sec